正交表L16（4^4）的不同结构  

On the Different Structure of Orthogonal Arrays L_(16) (4￣4)

作　　者：庞善起[1] 

机构地区：[1]河南师范大学数学系

出　　处：《数理统计与管理》1996年第3期35-40,共6页Journal of Applied Statistics and Management

摘　　要：本文得出：全部６９１２张正交表Ｌ１６（４４）共有３６种不同的结构，两张正交表和正交表结构相同当且仅当是由经过若干次列置换和正反次序对换所得到。我们还计算出３６种结构的极大最小距离，并通过计算机验证比较了它们的平均冒尖性。In this paper, we obtain that there are 36 kinds of structure for all 6912 orthogonal arrays L16 (44). Two orthogonal arrays and are of same structure if and only if we can obtain from by permuting some columns of or replacing i with 5 - i for every mumber i of level of some columns. Furthermore,we give the supremum-minimum distance of 36 kinds of structure and comparing their mean pick-the -winners by computer experiments.

关 键 词：正交表 极大最小距离 平均冒尖性 正交设计 

分 类 号：O212.6[理学—概率论与数理统计]